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Finding the Fourth Proportional to 268.56, 370 and 213.28

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Solution

The fourth proportional to 268.56, 370 and 213.28 is: 293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.56 : 370 = 213.28 : x
  2. Step 2: Convert to fraction form
    268.56/370 = 213.28/x
  3. Step 3: Cross multiply
    268.56x = 370 × 213.28
  4. Step 4: Simplify right side
    268.56x = 78,913.60
  5. Step 5: Solve for x
    x = 78,913.60/268.56
  6. Step 6: Final answer
    x = 293.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.